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Published on: March 5, 2014
Static Two-Body Potential at Fifth Post-Newtonian Order
Stefano Foffa1, Pierpaolo Mastrolia2, Riccardo Sturani3
1Département de Physique Théorique and Centre for Astroparticle Physics, Université de Genève, CH-1211 Geneva, Switzerland.
Abstract:
We determine the gravitational interaction between two compact bodies up to the sixth power in Newton's constant, G_{N}, in the static limit. This result is achieved within the effective field theory approach to general relativity, and exploits a manifest factorization property of static diagrams which allows us to derive static post Newtonian (PN) contributions of (2n+1) order in terms of lower order ones. We recompute in this fashion the 1PN and 3PN static potential, and present the novel 5PN contribution.
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